Atkin-Lehner |
2- 3- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370bm |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-196202358337500 = -1 · 22 · 39 · 55 · 192 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10462,530781] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5811:8] |
Generators of the group modulo torsion |
j |
173731771247399/269139037500 |
j-invariant |
L |
5.7321212688693 |
L(r)(E,1)/r! |
Ω |
0.38493209270309 |
Real period |
R |
3.7228133051274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26790c1 |
Quadratic twists by: -3 |